What is the Least Common Multiple of 91275 and 91282?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 91275 and 91282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91275 and 91282, than apply into the LCM equation.

GCF(91275,91282) = 1
LCM(91275,91282) = ( 91275 × 91282) / 1
LCM(91275,91282) = 8331764550 / 1
LCM(91275,91282) = 8331764550

Least Common Multiple (LCM) of 91275 and 91282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91275 and 91282. First we will calculate the prime factors of 91275 and 91282.

Prime Factorization of 91275

Prime Factorization of 91282

Now multiplying the highest exponent prime factors to calculate the LCM of 91275 and 91282.

LCM(91275,91282) = 3¹ × 5² × 1217¹ × 2¹ × 45641¹
LCM(91275,91282) = 8331764550